Copyright © 2010 Liu Zhanwei et al. This is an open access article distributed under the
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We study the sampling theorem for frames in multiwavelet subspaces. Firstly,
a sufficient condition under which the regular sampling theorem holds is established. Then, notice that
irregular sampling is also useful in practice; we consider the general cases of the irregular sampling
and establish a general irregular sampling theorem for multiwavelet subspaces. Finally, using this
generalized irregular sampling theorem, we obtain an estimate for the perturbations of regular sampling
in shift-invariant spaces.